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- W2402137943 abstract "In 2006, Restorff completed the classification of all Cuntz-Krieger algebras with finitely many ideals (<italic>i.e.</italic>, those that are purely infinite) up to stable isomorphism. He left open the questions concerning strong classification up to stable isomorphism and unital classification. In this paper, we address both questions. We show that any isomorphism between the reduced filtered <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K> <mml:semantics> <mml:mi>K</mml:mi> <mml:annotation encoding=application/x-tex>K</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-theory of two Cuntz-Krieger algebras with finitely many ideals lifts to a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi /> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-isomorphism between the stabilized Cuntz-Krieger algebras. As a result, we also obtain strong unital classification." @default.
- W2402137943 created "2016-06-24" @default.
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- W2402137943 date "2017-03-17" @default.
- W2402137943 modified "2023-09-25" @default.
- W2402137943 title "Strong classification of purely infinite Cuntz-Krieger algebras" @default.
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- W2402137943 doi "https://doi.org/10.1090/btran/14" @default.
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